Math 10 - Semester 2 - Final Review

Math 10 - Semester 2 - Final Review

Multiple Choice

Which term is missing in this problem?

(2x³ + 5x² + 9) ÷

(x + 3)

• x⁴

• x³

• x²

• x

Multiple Choice

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

Multiple Choice

What is the remainder R when the polynomial p(x) is divided by (x-5)?

p(x) = x³ - 5x² + 2x - 10

• 0

• 2x-10

• -2x-10

• 2x+10

Multiple Choice

Use synthetic division to divide

(2x³ - 5x² + 3x + 7) by (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

Multiple Choice

Solve and Check for extraneous Solutions

• n = 5 and -6

• n = -6

• n = 5

• No Solution

Multiple Choice

Solve and Check for extraneous Solutions

• 35/3

• 35

• 3

• 7/3

Multiple Choice

Solve and Check for extraneous Solutions

• -14

• 14

• no solution

• 28

Multiple Choice

Solve and Check for extraneous Solutions

• 1

• 43

• 8

• 55

Multiple Choice

Find S_n for the given arithmetic series:

a₁=22

d=-8

n=21

• 1911

• -1449

• -2436

• -1218

Multiple Choice

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

• -160

• -328

• -320

• -336

Multiple Choice

Given the sequence:

25, 21, 17, 13,...

Write the rule of nth term

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Multiple Choice

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

Multiple Choice

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28

• -21, -25, -29

• -23, -28, -33

• -24, -29, -32

Multiple Choice

Find the common difference: -34, -29, -24, -19, ...

• d = -5

• d = 5

• d = -6

• d = 6

Multiple Choice

Write the rule of nth term for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Multiple Choice

Evaluate.

• 5461

• 800

• 4095

• 6241

Multiple Choice

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

• 1 , 3 , 6 , 9 , 12

• 3 , 9 , 27 , 81 , 243

• 0 , 1 , 3 , 9 , 27

• 1 , 3 , 9 , 27 , 81

Multiple Choice

Is the given sequence geometric?

• Yes

• No

• Cannot be determined

Multiple Choice

The sum of an finite Geometric series is given by:

Multiple Choice

The n^th term of a geometric sequence is given by ...

Multiple Choice

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

• ⁴/₉

• ¹²/₉₉

• ⁴/₃₃

• ⁴/₉₉

Multiple Choice

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

• ¹⁸/₃₃

• ⁵⁸/₉₉

• ⁶/₁₁

• ¹⁹/₃₃

Multiple Choice

Change the following recurring decimal into a fraction.

Simplify your answer if possible.

• ²/₉

• ²²/₉₉

• ¹/₃

• ²/₉₉

Multiple Choice

Change the following recurring decimal into a fraction.

Write your answer in its simplest form.

• ⁴⁷/₉₀

• ⁵²/99

• ⁴⁷/99

• ⁵²/₉₀

Multiple Choice

Find the sum of the infinite geometric series, if it exists. $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...$  

• 205

• 19.5

• 108.75

• Does Not Exist

Multiple Choice

Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$  

• 8

• 8/5

• 10

• Does not exist

Multiple Choice

Find the missing value.

Round to the nearest tenths.

• 36.6 in

• 43.7 in

• 47.8 in

• 37.4 in

Multiple Choice

Find the missing value.

Round to the nearest tenths.

• 33.9 mm

• 3.4 mm

• 10.5 mm

• 36.2 mm

Multiple Choice

Cotangent is the reciprocal of what function?

• Cosecant

• Sine

• Cosine

• Tangent

Multiple Choice

Secant is the reciprocal of what function?

• Cosecant

• Sine

• Cosine

• Tangent

Multiple Choice

What is the reciprocal of the sine function?

• cosecant

• cosine

• secant

• cotangent

Multiple Choice

Find side AB?

• 20 m

• 5 m

• 11.54 m

• 8.66 m

Multiple Choice

Use properties of Logs to write  $\log_3\left(4\right)-\log_3\left(x\right)+\log_3\left(y\right)$  

as one Log

•  $\log_3\left(\frac{4x}{y}\right)\$ 

•  $\log_3\left(4xy\right)$ 

•  $\log_3\left(\frac{4}{xy}\right)$ 

•  $\log_3\left(\frac{4y}{x}\right)$ 

Multiple Choice

Use properties of Logs to write  $\log_3\left(4\right)-\log_3\left(x\right)+\log_3\left(y\right)$  

as one Log

•  $\log_3\left(\frac{4x}{y}\right)\$ 

•  $\log_3\left(4xy\right)$ 

•  $\log_3\left(\frac{4}{xy}\right)$ 

•  $\log_3\left(\frac{4y}{x}\right)$ 

Multiple Choice

Use properties of Logs to write  $\log_3\left(4\right)-\log_3\left(x\right)+\log_3\left(y\right)$  

as one Log

•  $\log_3\left(\frac{4x}{y}\right)\$ 

•  $\log_3\left(4xy\right)$ 

•  $\log_3\left(\frac{4}{xy}\right)$ 

•  $\log_3\left(\frac{4y}{x}\right)$ 

Multiple Choice

Expand  $\log_4\left(3xy\right)$  

•  $\log_4\left(3\right)\ +\ \log_4\left(x\right)-\ \log_4\left(y\right)$ 

•  $3\log_4\left(x\right)\ +\ 3\log_4\left(y\right)$ 

•  $\log_4\left(3\right)\ +\ \log_4\left(x\right)+\ \log_4\left(y\right)\$ 

•  $4\log\left(3\right)\ +\ 4\log\left(x\right)+\ 4\log\left(y\right)\$ 

Multiple Choice

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Multiple Choice

 $\ln\left(\frac{2x^2y}{z^4}\right)$  

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

Multiple Choice

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Multiple Choice

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Multiple Choice

Solve

log₄ (3x-1) = log₄ (2x+3)

• 4

• 3

• 1

• 8

Multiple Choice

Solve

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Multiple Choice

Solve the equation.$\log_4x+\log_4\left(x-3\right)=1$  

•  $x=-4\ and\ x=1$  

•  $x=4$  

•  $x=1$  

•  $x=4\ and\ x=-1$  

•  $x=-1$  

Multiple Choice

Solve the equation.

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8